https://doi.org/10.1140/epjc/s10052-022-10392-z
Regular Article - Theoretical Physics
Optical properties of null geodesics emerging from dynamical systems
1
Department of Mathematics, Khalifa University of Science and Technology, Main Campus, Abu Dhabi, United Arab Emirates
2
International Centre for Theoretical Sciences, No. 151, Shivakote, Hesaraghatta Hobli, 560089, Bengaluru, Karnataka, India
Received:
8
March
2022
Accepted:
30
April
2022
Published online:
10
May
2022
We study optical metrics via null geodesics as a central force system, deduce the related Binet equation and apply the analysis to certain solutions of Einstein’s equations with and without spherical symmetry. A general formula for the deflection angle in the weak lensing regime for the Schwarzschild-Tangherlini (ST) metric is derived. In addition, we obtain a new weak lensing formula for the deflection angle on the equatorial plane of a Kerr black hole (BH). We also explore the bending of light by considering the gravitational objects described by the Tomimatsu–Sato (TS) metric.
© The Author(s) 2022
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